Local Approximation by Generalized Baskakov–Durrmeyer Operators

DOI10.1080/01630560701277823zbMath1348.41017OpenAlexW1995804925WikidataQ115600877 ScholiaQ115600877MaRDI QIDQ3444665

Zhongkai Li, Mircea Ivan, Ulrich Abel

Publication date: 4 June 2007

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560701277823

zbMATH Keywords

rate of convergenceasymptotic expansionsimultaneous approximationdegree of approximationapproximation by positive operators

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation by positive operators (41A36)

Related Items (4)

On generalized Baskakov-Durrmeyer-Stancu type operators ⋮ On Approximation Properties of a New Type of Bernstein-Durrmeyer Operators ⋮ Direct estimates in simultaneous approximation for BBS operators ⋮ Approximation by Durrmeyer variant of Cheney-Sharma Chlodovsky operators

Cites Work

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• Rodriguez-type representation for the eigenfunctions of Durrmeyer-type operators
• Direct and converse results on weighted simultaneous approximation by the method of operators of Baskakov-Durrmeyer type
• On the asymptotic approximation with operators of Bleimann, Butzer and Hahn
• The complete asymptotic expansion for Bernstein-Durrmeyer operators with Jacobi weights
• The moments for the Meyer-König and Zeller operators

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